$\mathcal {L}$-classes on pseudomanifolds with one singular stratum
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Abstract:
We study the index theorem and Chern character of an admissible pseudomanifold $X^{\dagger }$ with one singular stratum. Under a condition on the link, we give a de Rham type realization of the Goresky-MacPherson-Siegel $\mathcal {L}$-classes on $X^{\dagger }$ in terms of curvature forms and eta invariant of the link.References
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Additional Information
- Shing-Wai Chan
- Affiliation: Department of Mathematics, The Ohio State University, Columbus, Ohio 43210
- Email: swchan@math.ohio-state.edu
- Received by editor(s): January 17, 1995
- Received by editor(s) in revised form: March 13, 1995, and January 31, 1996
- Communicated by: Peter W. K. Li
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 1955-1968
- MSC (1991): Primary 19D55; Secondary 58G12
- DOI: https://doi.org/10.1090/S0002-9939-97-03386-8
- MathSciNet review: 1327001